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Finding the Fourth Proportional to 288.61, 398.11 and 209.83

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Solution

The fourth proportional to 288.61, 398.11 and 209.83 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 398.11 = 209.83 : x
  2. Step 2: Convert to fraction form
    288.61/398.11 = 209.83/x
  3. Step 3: Cross multiply
    288.61x = 398.11 × 209.83
  4. Step 4: Simplify right side
    288.61x = 83,535.57
  5. Step 5: Solve for x
    x = 83,535.57/288.61
  6. Step 6: Final answer
    x = 289.44

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